【摘要】 对(K1,4;2)-图,证明它的3-闭包的一个性质。G为{K1∨P5,T3}-free或K1∨P4-free的(K1,4;2)图,x,a,b为G中不同三点,x为G中局部3-连通的适宜点,G′由G在点x局部完备所得。若G′中有长为l的(a,b)-路,则G中有长为l的(a,b)-路。更多还原

【Abstract】 Let G be a(K1,4;2)-graph which is a K1∨P5 or T3-free graph.For two vertice of the graph G denoted by a and b,a vertex of graph G denoted by x which is an eligible and locally 3-connected vertex,a graph denoted by G′ is got by locally completed the graph G at the vertex x.It is shown that if there is a(a,b)-path with the length of m in G′,then there is a(a,b)-path with the length of m in G.更多还原